Question

(x-1)^2+(y-5)^2=4 center and radius

Answer 1

The standard form of a circle is:

(x-h)^2+(y-k)^2=r^2, where (h,k) is the (x,y) coordinate of the center of the circle and r is its radius.  In this case:

(h,k) is (1,5) and it has a radius of √4 which is 2

So the center is the point (1,5) and it has a radius of 2.